Chinese Quarterly Journal of Mathematics

Boundeness of a Class of Maximal Operators on Hp Spaces on Compact Lie Groups

Jiang Yinsheng

1993, 8(4): 1-9.

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In this paper we discuss the weak type(IP,I) boundedness of a class of maximal operatorsT and themaximal strong,mean boundedness of a family of the operators {T on the atomic IP spaceson compaet Lie groups.Also,we obtain the correspoding convergent rosults.

A Half-Power Trace Formulas for the Generalized Jaulent-Miodek Equation

Li Xuemei

1993, 8(4): 10-14.

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A new dispersive relation is found and a half-pow tormulas for the generalizeMiodek equation under the deeaying conditions at infinity are obtained.

The Smoothness of Weak Solutions to the System of Second Order Differential Equations with Non-negative Characteristics

Zhang Kenong

1993, 8(4): 15-22.

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In this paper,we will discuss smoothness of weak solutions for the system of second orderdifferential equations eith non-negative characteristies.First of all,we establish boundary,and interiorestimates and then we prove that solutions of regularization problem satisfy Lipschitz condition.

Structure of 6m±1 Order Imaginary Cube

Gao Jianguo

1993, 8(4): 23-31.

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This paper gives the notions of point matrix and equideviate point matrix.6m±1 orderimaginary cube is obtained by using a kind of spocial point matrix.(m is a nature number)

Duality of Unary Convex Functions Programming

Zhu Detong

1993, 8(4): 32-39.

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Most nonliner programming problems consist of functions which are sums of unary,convexfunctions of linear fuctions.In this paper.we derive the duality forms of the unary oonvex optimization,and these technuqucs are applied to the geometric programming and minimum discrimination informationproblems.

Radius of Starlikeness for Class S(a,n) and Its Extension

Jiang Runrong

1993, 8(4): 40-46.

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This paper obtain that the radius of starlikencss for class S(a,n)in[l]is,tespxtively.... where ta is uniquc solution of cquation√m=n with a in(0,1),and a=[1+(1-2a)_,(1—²), =[1-(1-2a)r]/(1+r).Futhermore,we considcr an extension of class ... where a=[1+(1-2a),2]/(5—m2)(0≤r<1),a∈(0,1)is somc fixcd numbcr.This rcsult is alsu the cxicnsion ofwel-known results [T,Th3]and [8.Th3j.

Linear Isometries of S^p Spaces

Liu Taishun

1993, 8(4): 47-52.

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This papcr gcncralizes thce result about lincar isonctrics of S'spaccs given by W.P.Novingcr and D.M.Oberlin[2]for the unitc disc oft'to the bounded symncric domains of C.

On the Product and Factorization of Lattice Implication Algebras

Qin Keyun, Song Zhenming, Xu Yang

1993, 8(4): 53-57.

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In this paper,the concepts of product and factorization of lattice implication algebra areproposed,the relation between lattice implication product algebra and its factors and some properties oflattice implication product algebras are discussed.

Weighted Norm Inequalities for the Hardy Operator

Li Dengfeng, Zhang Caiyu

1993, 8(4): 58-64.

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In this paper.a characterizationis,obtained for those pairs of weight funetions on(0=∞) for which the Hardy operator Pf(x)=f(t)dt is bounded from (μ) to ,0<q<1<p<+∞.

The（0,1）Type Green Form of a Complex Projective Space CPⁿ

1993, 8(4): 65-70.

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In this paper,the (0.1)-form heat kernel of a complex projective space of dimensions n isconstructed cxplicitely.As an application of the (0.1)-form heat kernel,the (0.1) type Green Form of CPⁿ

The Minimal Submanifolds in a Locally Symmetric and Conformally Flat Riemannian Manifold

Shu Shichang

1993, 8(4): 71-76.

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In this paper,we extend two important theorem in [1],[2] to the minimal submanifolds in aLocally symmetric and conformally flat Riemannian mainfold N+p.When N+pis a space S^1+pof constantcurvature,our theorems reduce to the theorems of [1],[2].

On Quadratric Rotational Curved Surface

Ma Guoqiang, Zhu Zhenxing

1993, 8(4): 77-82.

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In this paper,a deterministic theorem is proposed for quadratic rotational curved surface.Therelationship between invariants for quadratic rotational curved surface is established.In addition we giveeach type of equitions for rotational curved surface using the invariant.

Ass(M/N)and Ann(M/N)on the Noetherian Module M

Huang Tianmin, Tian Weisheng

1993, 8(4): 83-88.

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Let R is a noetherian ring,M is a finitely generated R-module.This paper studies the relationbetween associated prime Ass(M/N)and annihilator Ann(M/N),and has given the necessary andsufficient conditions of Ass(M/N)=Ann(M/N).

On Converse Theorem of Best Approximation by Polynomials in Bergman Spaces Hqp（p>0,q>1）

1993, 8(4): 89-98.

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A Bernstein type theorem and a converse theorem of best approximation by polynomials inBergman spaces Hqp（p>0,q>1） are proved.Some proofs and results in [1] are in proved.

Practical Method for Determining All the Minimum Solutions of Fuzzy Matrix Equation and Transitive Closure of Fuzzy Relation

Yan Jiajie, Zhao Wanzhong

1993, 8(4): 99-103.

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In this paper,the new theory frame and practical methhod for determining all the minimumsolutions of Fuzzy matrix equation and transitive closure of Fuzzy relation is described,and it has beencarried out on the miero-computer quickly and accurately.

On Stability of Solutions of a Certain Fourth-Order Functional Differential Equations

Wang Peiguang

1993, 8(4): 104-110.

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Using a Razumikhin-type theorem,we obtain sufficient conditions for the global asymptoticstability of the zero solution of a certain fourth order functional differential equations.The resultgeneralizes the well known results.

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